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Finding the Fourth Proportional to 616.22, 924.45 and 323.86

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Solution

The fourth proportional to 616.22, 924.45 and 323.86 is: 485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.22 : 924.45 = 323.86 : x
  2. Step 2: Convert to fraction form
    616.22/924.45 = 323.86/x
  3. Step 3: Cross multiply
    616.22x = 924.45 × 323.86
  4. Step 4: Simplify right side
    616.22x = 299,392.38
  5. Step 5: Solve for x
    x = 299,392.38/616.22
  6. Step 6: Final answer
    x = 485.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.